Details

sample109.0ms

Algorithm

intervals

Results

25.0ms	140×	body	160	valid
21.0ms	313×	body	80	nan
18.0ms	569×	pre	80	true
8.0ms	116×	body	80	valid

simplify106.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	104
5	104
4	96
3	76
2	41
1	21
0	12

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 3.0 a) c)
0.3b	(- (* b b) (* (* 3.0 a) c))
0.3b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.2b	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-log-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`prod-exp` `cbrt-unprod`
3×	`distribute-rgt-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-sub` `associate-l` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 73

Calls

4 calls:

14.0ms	(* (* 3.0 a) c)
9.0ms	(- (* b b) (* (* 3.0 a) c))
77.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
18.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* 3.0 a) c)
49.0ms	(- (* b b) (* (* 3.0 a) c))
132.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
141.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.7s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	2583
1	438
0	154

prune410.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (+ (- (* b b) (* b b)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`associate-/l*`
26×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
12×	`distribute-lft-out--` `difference-of-squares`
8×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `distribute-rgt-neg-in` `div-exp` `associate-l` `pow-prod-down` `sqrt-prod` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `div-inv` `flip--`
2×	`div-sub` `associate-r` `*-commutative`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `diff-log` `associate-+l-` `associate-/l/`

Counts

4 → 123

Calls

4 calls:

14.0ms	(- (* b b) (* 3.0 (* a c)))
24.0ms	(* 3.0 (* a c))
24.0ms	(* 3.0 (* a c))
147.0ms	(/ (/ (+ (- (* b b) (* b b)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series311.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* b b) (* 3.0 (* a c)))
24.0ms	(* 3.0 (* a c))
29.0ms	(* 3.0 (* a c))
190.0ms	(/ (/ (+ (- (* b b) (* b b)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify1.3s

Counts

135 → 135

Iterations

Iter	Nodes
done	5000
2	2953
1	608
0	228

prune912.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c))))))
0.3b	(- (* b b) (* 3.0 (* a c)))
0.3b	(* 3.0 (* a c))
0.4b	(/ (/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
79×	`add-sqr-sqrt` `*-un-lft-identity`
39×	`add-cube-cbrt`
30×	`associate-/l*`
23×	`add-cbrt-cube` `add-exp-log`
20×	`distribute-lft-out--` `difference-of-squares`
10×	`distribute-rgt-neg-in` `sqrt-prod`
9×	`pow1`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r/` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `div-inv` `flip--`
3×	`div-sub` `associate-l` `pow-prod-down` `associate-/l/`
2×	`clear-num` `frac-2neg` `associate-+l-`
1×	`sub-neg` `flip3-+` `diff-log` `associate-r` `*-commutative` `flip-+`

Counts

4 → 153

Calls

4 calls:

124.0ms	(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c))))))
13.0ms	(- (* b b) (* 3.0 (* a c)))
23.0ms	(* 3.0 (* a c))
165.0ms	(/ (/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

series571.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c))))))
67.0ms	(- (* b b) (* 3.0 (* a c)))
35.0ms	(* 3.0 (* a c))
211.0ms	(/ (/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* 3.0 (* a c)))))) (* 3.0 a))

simplify1.5s

Counts

165 → 165

Iterations

Iter	Nodes
done	5001
2	3764
1	734
0	265

prune968.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* a (* c 3.0))
0.3b	(- (* b b) (* a (* c 3.0)))
0.4b	(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (* (- (+ b (sqrt (- (* b b) (* a (* c 3.0)))))) (* a 3.0)))
0.4b	(* (- (+ b (sqrt (- (* b b) (* a (* c 3.0)))))) (* a 3.0))

rewrite353.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
15×	`associate-l`
14×	`pow1` `*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down` `add-log-exp`
4×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-*l/` `distribute-neg-frac`
3×	`cbrt-undiv` `flip3-+` `times-frac` `div-exp` `flip-+` `associate-/l*`
2×	`associate-r` `associate-/r/` `*-commutative` `distribute-lft-out` `associate-/l/`
1×	`distribute-lft-neg-out` `clear-num` `associate-/r*` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-sub` `associate-+l-` `div-inv` `flip--`

Counts

4 → 88

Calls

4 calls:

23.0ms	(* a (* c 3.0))
12.0ms	(- (* b b) (* a (* c 3.0)))
137.0ms	(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (* (- (+ b (sqrt (- (* b b) (* a (* c 3.0)))))) (* a 3.0)))
177.0ms	(* (- (+ b (sqrt (- (* b b) (* a (* c 3.0)))))) (* a 3.0))

series469.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* a (* c 3.0))
69.0ms	(- (* b b) (* a (* c 3.0)))
197.0ms	(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (* (- (+ b (sqrt (- (* b b) (* a (* c 3.0)))))) (* a 3.0)))
176.0ms	(* (- (+ b (sqrt (- (* b b) (* a (* c 3.0)))))) (* a 3.0))

simplify2.0s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	3819
1	593
0	192

prune600.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes397.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	76
4	76
3	71
2	52
1	38
0	27

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.1s	16487×	pre	80	true
790.0ms	8487×	body	80	nan
761.0ms	4385×	body	160	valid
298.0ms	3615×	body	80	valid